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Simplifying (5w + -27) + w = 56 Reorder the terms: (-27 + 5w) + w = 56 Remove parenthesis around (-27 + 5w) -27 + 5w + w = 56 Combine like terms: 5w + w = 6w -27 + 6w = 56 Solving -27 + 6w = 56 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6w = 56 + 27 Combine like terms: -27 + 27 = 0 0 + 6w = 56 + 27 6w = 56 + 27 Combine like terms: 56 + 27 = 83 6w = 83 Divide each side by '6'. w = 13.83333333 Simplifying w = 13.83333333
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